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53904679296 = 273131719101331
BaseRepresentation
bin110010001100111110…
…000010000110000000
312011010201011102122120
4302030332002012000
51340344044214141
640432524204240
73615544133256
oct621476020600
9164121142576
1053904679296
1120951871436
12a544699680
1351109c8750
1428751505d6
15160758bc66
hexc8cf82180

53904679296 has 512 divisors, whose sum is σ = 174088051200. Its totient is φ = 14598144000.

The previous prime is 53904679219. The next prime is 53904679331. The reversal of 53904679296 is 69297640935.

It is a super-2 number, since 2×539046792962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162853851 + ... + 162854181.

It is an arithmetic number, because the mean of its divisors is an integer number (340015725).

Almost surely, 253904679296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53904679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87044025600).

53904679296 is an abundant number, since it is smaller than the sum of its proper divisors (120183371904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53904679296 is a wasteful number, since it uses less digits than its factorization.

53904679296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 53904679296 in words is "fifty-three billion, nine hundred four million, six hundred seventy-nine thousand, two hundred ninety-six".